Classifying quadrilaterals - seven types of quadrilaterals and their family tree

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Do you know the seven types of quadrilaterals? We look at the quadrilaterals "family tree", first with only four types of quadrilaterals (to keep it simple), and then we add the rest. The completed family includes the kite, the trapezoid, the parallelogram, the rhombus, the rectangle, and the square. A scalene quadrilateral would form its own branch, so is not included.

The family tree helps us to solve questions such as if a parallelogram is also a kite, or if a rectangle is trapezoid.

This family tree uses this definition for a trapezoid: a trapezoid is a quadrilateral with AT LEAST one pair of parallel sides. That way, it can have "children" in the family tree - the parallelogram, the rhombus, the rectangle, and the square, which all also have at least one pair of parallel sides (in reality 2, but they fit the definition).

This geometry lesson is intended for 5th grade level and onward.

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lovely presentation. I am a Montessorian and your explanation really helped me with lots of reasoning questions that i can use with the children. Thank you.

jayashreebhuvan
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I am so grateful! This make math more fun!!

wellunderstood
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THis was so helpful 😃 your videos are very understanding 😊 *takes a hundred screenshots* 📷📸📷📸📷📸📷📸📷📸📷📸📷📸📷📸-

TheGreatApple
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Miss this videos are amazing but can u make the videos for standard 8 pls

khushisomaiya
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I really enjoy your videos, but you confused me at the end of the parallelogram family tree. My confusion is in reference to the last written question before you split the video to the quadrilateral family tree. You addressed the question that said, "All four sides are congruent and one of it's angles is a right angle. is it a rhombus?" You said only first part of the question was relevant, so yes, it is a rhombus. This confuses me, because a rhombus does not have any right angles. I must have missed something, but I can't figure out what. I've watched that section over again several times. Please help me understand!

pauletduck